2021
DOI: 10.30538/psrp-odam2021.0064
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Degree-based topological indices of product graphs

Abstract: In this paper, we obtain the quantitative calculation formula of the degree-based topological indices of four standard products for the path and regular graphs, which unify to solve the question on the product of these basic graphs without dealing with it one by one separately. As applications, we give the corresponding calculation formula of the general Randić index, the first general Zagreb index, and the general sum-connectivity index.

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“…In the literature, the most widely used topological indices are Zagreb and Randic [16,17]. Recently, the topological indices on product graphs and the inverse sum index of hyaluronic acid-paclitaxel molecules applied in anticancer drugs are extensively discussed [18,19]. Second Zagreb indices of transformation graphs and total transformation graphs and topological indices on hex-derived networks are presented in [20,21].…”
Section: Introductionmentioning
confidence: 99%
“…In the literature, the most widely used topological indices are Zagreb and Randic [16,17]. Recently, the topological indices on product graphs and the inverse sum index of hyaluronic acid-paclitaxel molecules applied in anticancer drugs are extensively discussed [18,19]. Second Zagreb indices of transformation graphs and total transformation graphs and topological indices on hex-derived networks are presented in [20,21].…”
Section: Introductionmentioning
confidence: 99%